225984300 has 72 divisors (see below), whose sum is σ = 663665856. Its totient is φ = 59357760.

The previous prime is 225984229. The next prime is 225984313. The reversal of 225984300 is 3489522.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14479 + ... + 25721.

Almost surely, 2^225984300 is an apocalyptic number.

225984300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225984300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331832928).

225984300 is an abundant number, since it is smaller than the sum of its proper divisors (437681556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225984300 is a wasteful number, since it uses less digits than its factorization.

225984300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 225984300 is about 15032.7741950712. The cubic root of 225984300 is about 609.1058295757.

The spelling of 225984300 in words is "two hundred twenty-five million, nine hundred eighty-four thousand, three hundred".